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Finding the Fourth Proportional to 523.34, 784.98 and 249.62

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Solution

The fourth proportional to 523.34, 784.98 and 249.62 is: 374.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.34 : 784.98 = 249.62 : x
  2. Step 2: Convert to fraction form
    523.34/784.98 = 249.62/x
  3. Step 3: Cross multiply
    523.34x = 784.98 × 249.62
  4. Step 4: Simplify right side
    523.34x = 195,946.71
  5. Step 5: Solve for x
    x = 195,946.71/523.34
  6. Step 6: Final answer
    x = 374.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.